440133641361648 has 480 divisors, whose sum is σ = 1413826755921216. Its totient is φ = 126618352975872.

The previous prime is 440133641361641. The next prime is 440133641361761. The reversal of 440133641361648 is 846163146331044.

440133641361648 is a `hidden beast` number, since 4 + 4 + 0 + 1 + 3 + 3 + 6 + 4 + 13 + 616 + 4 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 440133641361594 and 440133641361603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (440133641361641) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6810335511 + ... + 6810400137.

Almost surely, 2^{440133641361648} is an apocalyptic number.

440133641361648 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 440133641361648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (706913377960608).

440133641361648 is an abundant number, since it is smaller than the sum of its proper divisors (973693114559568).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

440133641361648 is a wasteful number, since it uses less digits than its factorization.

440133641361648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66081 (or 66072 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 54.

The spelling of 440133641361648 in words is "four hundred forty trillion, one hundred thirty-three billion, six hundred forty-one million, three hundred sixty-one thousand, six hundred forty-eight".